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Finding the Third Proportional to 169,722 and 335,160

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Solution

The third proportional to 169,722 and 335,160 is: 661,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,722 : 335,160 = 335,160 : x
  2. Step 2: Convert to fraction form
    169,722/335,160 = 335,160/x
  3. Step 3: Cross multiply
    169,722x = 335,160 × 335,160
  4. Step 4: Simplify right side
    169,722x = 112,332,225,600
  5. Step 5: Solve for x
    x = 112,332,225,600/169,722
  6. Step 6: Final answer
    x = 661,860.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.